Not familiar with the other cooler crashman mentions, but I've had little time for research. On the 1333MHz, though, there's actually a reasonable chance you'll make 1333.
I say this because I have easily overclocked my 600E, my 700E, and my 800E using 133MHz FSB. The 600E wouldn't go higher, but the 700E and 800E flipchips are running with 140MHz, posting at 980 and 1120, respectively (ORB cooled). Also, I read somewhere that the ASUS S370-DL solved some instability problems for one overclocker, took his advice, and was rewarded. As far as better cooling, Crashman quotes the host, and I believe Tom.
If the 10.0 clock PIII 1000 can turn 133MHz FSB into a stable CPU post, you'll be running 10x133=1333MHz.
BUT, that's a lot of money to spend before any of the serious O/C fans start test driving it (over $400). I'd watch overclockers.com and other sights for average performance before taking the plunge.
The 700E is cheap now, and it'll almost certainly post 933 or better. Almost a GHz for 1/3 the price of the 10.0 1000. You can always upgrade later.
AMD means Alot o'Mofuggin Degrees... toast-wise